Factor the expression, show work

3x^3 - 4x^2 - 15x - 20

Answer:

The correct statements are :

1. The value of mx will change.

2. The value of m will change.

3. The value of mx+b will decrease.

Step-by-step explanation:

The question is as shown in the attached figure.

Todd needs x ounces of almonds, which are priced at m dollars per ounce in the baking section. So, price of x ounces becomes = mx

The total cost of the other ingredients is b dollars.

Hence, total cost is given as = mx+b

Now, Todd later finds almonds in the bulk section that are half the price of those in the baking section.

So, now price = m/2

And total price for 'x' ounce = (mx/2 + b) dollars.

So, if Todd purchases the almonds in the bulk section, the total cost  will decrease.

The correct statements are :

1. The value of mx will change.

2. The value of m will change.

3. The value of mx+b will decrease.

1. What is the value of a?

-2(a - 8) + 6a = 36

Remember to follow PEMDAS. First, distribute -2 to all terms within the parenthesis

-2(a - 8) = -2a + 16

-2a + 16 + 6a = 36

Simplify. Combine like terms

6a - 2a = 4a

4a + 16 = 36

Isolate the a. Do the opposite of PEMDAS. First, note the equal sign. What you do to one side, you do to the other.

Subtract 16 from both sides

4a + 16 (-16) = 36 (-16)

4a = 36 - 16

4a = 20

Divide 4 from both sides

4a/4 = 20/4

a = 20/4

a = 5

5 is your answer for a

-------------------------------------------------------------------------------------------------------------------

2. What is the value of n in (3n + 6)/3 = 15

Remember to do the opposite of PEMDAS. Note the equal sign. First, multiply 3 to both sides

(3n + 6)/3(3) = 15(3)

3n + 6 = 45

Next, subtract 6 from both sides

3n + 6 (-6) = 45 (-6)

3n = 45 - 6

3n = 39

Finally, isolate the n. Divide 3 from both sides

3n/3 = 39/3

n = 39/3

n = 13

13 is your answer for n

-------------------------------------------------------------------------------------------------------------------

hope this helps

I have written the solution in  images attached.

Answer:

Consider

Amount of Rice (cups) : Amount of Water(cups)

1.2/5

2. 3/7.5=2/5

3. 5/12.5=2/5

4. 8/20=2/5

As in all cases Amount of Rice and Amount of water in cups are same.

i.e⇒ Amount of rice × K = Amount of water, where K is constant of proportionality.

So, Among all the statements

⇒ The amount of rice is the dependent value. The amount of water is the dependent value are correct.

Which means if either of them (Amount in cups) is given we can find other.

Answer:

5 1/4 ft

Step-by-step explanation:

... Area = length × width

Dividing by length, we find width to be ...

... width = Area / length

... = (60 3/8 ft²)/(6 ft +5 1/2 ft) . . . . total length is the sum of the 2 board lengths

... = (483/8 ft²)/(92/8 ft) = 483/92 ft = 5 1/4 ft

_____

Math with Fractions

[tex]60\dfrac{3}{8}=60+\dfrac{3}{8}=60\cdot\dfrac{8}{8}+\dfrac{3}{8}\\\\=\dfrac{60\cdot 8}{8}+\dfrac{3}{8}=\dfrac{480+3}{8}=\dfrac{483}{8}[/tex]

Division with fractions can be done a couple of different ways.

We have used the second method here.

[tex]11\dfrac{1}{2}=11+\dfrac{4}{8}=11\cdot\dfrac{8}{8}+\dfrac{4}{8}\\\\=\dfrac{11\cdot 8}{8}+\dfrac{4}{8}=\dfrac{88+4}{8}=\dfrac{92}{8}[/tex]

Now we have the two numbers as improper fractions, so the division looks like ...

[tex]\displaystyle\frac{\left(\frac{483}{8}\right)}{\left(\frac{92}{8}\right)}=\frac{483}{92}=\frac{23\cdot 21}{23\cdot 4}\\\\=\frac{21}{4}=5\frac{1}{4}[/tex]

Answer:

Step-by-step explanation:

The entire question is:

A map shows the town where Niko lives. The actual distance from​ Niko's house to his school is 3 miles and measures​ one-half inch on the map. The actual distance from​ Niko's school to the library is 4 miles. How long is this distance on the​ map?

To solve this problem, we can apply the rule of three, if 3 miles are one-half inch on the map, how long would be on the map for 4 miles.

[tex]x=4miles\frac{\frac{1}{2}in }{3miles}=4\frac{1}{6}in=\frac{2}{3}in[/tex]

Therefore, 4 miles would be 2-thirds inch on the map.

The actual distance of 4 miles would be 2-thirds inch on the map.

If 3 miles is shown by one-half inch on the map, then to find the length on the map for 4 miles, you can set up a proportion:

(3 miles) / (1/2 inch) = (4 miles) / x

Now, cross-multiply:

3 * x = 4 miles * (1/2 inch)

3x = 2 miles * inch

So , divide both sides by 3 to find the length on the map (x):

x = (2 miles * inch) / 3

x = 2/3 inch

So, the correct length on the map for 4 miles is indeed 2/3 inch.

Learn more about distance   from

https://brainly.com/question/30395212

#SPJ4

1. The answer is 0.425

2. the answer is 0.425

3. the answer is 0.2125

The answer is d hope this helps

the answer is 504 because 609/58 is 10.5 and then multiply 48 times 10.5 and you get 504

Answer:

There are 504 right handed students in west junior high school.

Step-by-step explanation:

Number of left handed students in east middle school = 58

Number of right handed students in east middle school = 609

Number of left handed students at west junior high = 48

Let the number of right handed students are west junior high be = x

As given, there a a proportional relation between the two, we can denote this as:

[tex]\frac{58}{609}= \frac{48}{x}[/tex]

Now solving for x;

[tex]58x=609*48[/tex]

[tex]58x=29232[/tex]

x = 504

Therefore, there are 504 right handed students in west junior high school.

Answer:

-13F is less than -12F, and -9F is greater than -12F

Step-by-step explanation:

You can prove this because in the problem is states that -13F < -12F < -9F

If you utilize this, you find that the first statement is quite obvious:

-13F is less than -12F

The second statement is a little trickier. Since in the original inequality is states that -12F < -9F, but you want to know the relationship between the switch, you would just flip the sign in the middle, getting you:

-9F is greater than -12F

You could also prove this simply with the rules of negative values (which work inversely from positives).

Answer:

A: Spent = 12c + 7b  + 24

B: 93 dollars

Step-by-step explanation:

Cost = 12*c + 7*b + 24

If c = 4 and b = 3 then the total cost is

Cost = 12*4 + 7*3 + 24                            Substitute and combine factors

Cost = 48 + 21 + 24                                 Combine Terms

Cost = 93 dollars                                     Answer

Maggie's total spending is represented by the expression 12c + 7b + 24. When purchasing 4 CDs and 3 books, plus a purse, she spent $93.

The total amount of money Maggie spent can be represented by the expression: c CDs at $12 each + b books at $7 each + 1 purse at $24.

So, the expression is 12c + 7b + 24.

Given that Maggie bought 4 CDs and 3 books, the total amount spent is calculated as follows:

Adding these amounts together gives us: $48 + $21 + $24 = $93.

Therefore, Maggie spent a total of $93 for 4 CDs, 3 books, and a purse.

iman has 48  cards and mateo has 80 cards

To find out how many sports cards Iman and Mateo each have, we can set up an algebraic equation based on the total number of cards and the packs they have. After solving the equation, we find that Iman has 48 sports cards, and Mateo has 80 sports cards.

The student's question pertains to a problem involving arithmetic and algebra. Iman and Mateo have a total of 128 sports cards combined. The question asks us to find out how many sports cards each child has. Let's call the number of cards that each pack contains 'x'. Therefore, Iman's cards can be represented as 6x and Mateo's cards as 10x. According to the information, 6x + 10x equals 128.

Combining the terms gives us 16x = 128. We can find 'x' by dividing both sides of the equation by 16, which gives us x = 8. Therefore, Iman has 6 packs times 8 cards per pack, which results in 48 cards, and Mateo has 10 packs times 8 cards per pack, adding up to 80 cards.

Iman has 48 sports cards and Mateo has 80 sports cards.

https://brainly.com/question/34268285

#SPJ2

1meter=3.28 feet. So multiply 100 times 3.28 and that’s your answer

x^2 = √150

x^2 = √(25 * 6)

x = + - 5√6

Answer

Last one

+ - 5√6

the difference of 1640-952 is 688

To solve the problem, an algebraic equation is set using the given conditions. After solving it, it's established that Nate has 28 one-dollar bills and 21 five-dollar bills.

Let's solve the problem in two steps. First, we already know the total sum of money Nate has, which is $267, and the value of his eleven $10 bills, which is $110. So, we subtract $110 from $267, leaving $157 to be divided among the $5 and $1 bills.

Next, we assign variables to the unknowns. Let's call the no of $1 bills 'x' and no of $5 bills ''x-7'. A $5 statement is worth five $1 bills so that we can rewrite 'x-7' as '5(x-7)'. Setting up the equation 5(x - 7) + x = 157 and solving for x gives us 28.

The problem-solving strategy here is using a system of equations to solve a money problem. So Nate has 28 one-dollar bills and 21 five-dollar bills (28-7).

https://brainly.com/question/28970143

#SPJ2

Hey there!!

Equation given :

... 78 = -2 ( m + 3 ) + m

... 78 = -2m - 6 + m

... 78 = -m - 6

... 78 + 6 = -m

... 84 = -m

... m = -84

Hope my answer helps!!

Hello there!

The answer should be the third option C.

[tex]78 = -2(m + 3) + m[/tex]

First you had to simplify from both sides of the equations.

[tex]78=-2(m+3)+m[/tex]

[tex]78=(-2)(m)+(-2)(3)+m[/tex]

[tex]78=-2m+-6+m[/tex]

[tex]78=(-2m+m)+(-6)[/tex]

[tex]78=-m+-6[/tex]

[tex]78=-m-6[/tex]

Then you can flip by the equation.

[tex]-m-6=78[/tex]

Add by 6 from both sides.

[tex]-m-6+6=78+6[/tex]

[tex]-m=84[/tex]

Divide by -1 from both sides.

[tex]\frac{-m}{-1}=\frac{84}{-1}[/tex]

Simplify should be the correct answer.

[tex]m=-84[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Answer: The smallest possible number is 136.

Step-by-step explanation:

1. You need to find the Least common multiple (LCM), which is the smallest of the common multiples of 17 and 8.

2. You can descompose 17 and 8 into primes factors. Then, you obtain:

[tex]17=17[/tex]

[tex]8=(2)(2)(2)=2^{3}[/tex]

3. Now, you must choose commons and no commons with the greatest exponent and multiply them. Therefore the result is:

[tex](17)(2^{3})=136[/tex]

[tex]LCM=136[/tex]

The smallest possible number that is divisible by both 17 and 8 is 136.

To find the smallest possible number that is divisible by both 17 and 8, we need to find their common multiple. The common multiples of 17 and 8 are found by multiplying them together and continuing until a common multiple is obtained. The smallest common multiple of 17 and 8 is 136.

https://brainly.com/question/34291727

#SPJ3

The first blank should contain the number 50. The second blank should contain the number 300 which represents hundreds. Lastly, the third blank should contain the number 30,000 when converted back from hundreds.

The original equation given is: 6 x 500. We can re-write this first in terms of hundreds as: 6 x (5,000/100) which means 6 times 50 hundreds. Hence, the first blank is 50.

Subsequently, you would find the product of 6 x 50 hundreds = 300 hundreds. Therefore, the value for the second blank is 300.

Finally, you would turn 300 hundreds back into a standard number by multiplying 300 by 100, which equals 30,000. So, the third blank would be 30,000.

https://brainly.com/question/35502092

#SPJ2

she will have to pay $61875 of interest at the end of the 15 years.

in total  she would have to pay $211875

It is a reciprocal. Multiplying is the opposite of Dividing, so if I multiply 3 times 4 I get 12. If i divide 12 by 3 I get 4.

Combine like terms. Note that both terms given have the same amount of variables, (n)

Combine: 2n + n = 3n

3n is your answer

hope this helps

The answer is 8.

In order to accommodate (or provide space for) all students, with the maximum students per class being 15, there needs to be at least enough for 112. A way to figure this out is 112 / 15 (the total amount of people signed up divided by the amount per class). The quotient is 7.466..., which does not work since you cannot have a 0.466... of a human in a class. This means you must round to the nearest whole number. If there were more students it could accommodate 8 more being that 15 * 8 is 120, but in this case there are only 112.

Hope I helped! Please give Brianliest if I did!

First we find how much was left as 1/8 full

16.8 times 0.125

2.1

Now add this to the amount that was added to reach full gauge

2.1 +16.8

18.9

Next we find out what 3/4 of a full tank is

18.9 times 0.75

14.175

So, the gas tank has 14.175 gallons when it is 3/4 full

y = x + 5

check

for x = 5 → y = 5 + 5 = 10 CORRECT

for x = 10 → y = 10 + 5 =15 CORRECT

for x = 15 → y = 15 + 5 = 20 CORRECT

for x = 20 → y = 20 + 5 = 25 CORRECT

Solve for m.

Add 7 to both sides to get 3m=15

Then divide by sides by 3 to get m=5.

The final answer is m=5.

Answer:

299999929132

Step-by-step explanation:

jndcueucneucneucnuencuencue

iencuencuebcubecubeucbeucbe

ucubecbeucbeucbeucbec

uebcuecuebcuebcuebcubeucgbe

ecbuebcuecbuebcuebucbeucb

uebcubecubec

ebcuebcuebcuebcuebcubecuecb

uebcuebcuebcuebcuebcubeucbec

uebcuebcuebcuebc

Melissa has completed 85% of the bike course by riding 51 out of 60 miles. This was calculated by dividing the distance ridden by the total distance and multiplying by 100.

To find out what percentage of the bike course Melissa has ridden, we need to divide the distance she has ridden by the total distance of the course and then multiply by 100 to get the percentage. Melissa has ridden 51 miles of the 60 miles long course. Therefore, the percentage of the course she has ridden is calculated as follows:

When we perform this calculation, we get:

(51 / 60) * 100 = 85%

So, Melissa has ridden 85% of the bike course.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The final answer would be 5.16

ava dis u? haha

The answer would be 6.08 consider the numbers behind the decimals as they will be helpful to know where to put your decimal point in your answer. Hope this helps!